{"id":"https://openalex.org/W2043174594","doi":"https://doi.org/10.1007/bf02141593","title":"Trigonometric interpolation and wavelet decompositions","display_name":"Trigonometric interpolation and wavelet decompositions","publication_year":1995,"publication_date":"1995-09-01","ids":{"openalex":"https://openalex.org/W2043174594","doi":"https://doi.org/10.1007/bf02141593","mag":"2043174594"},"language":"en","primary_location":{"id":"doi:10.1007/bf02141593","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02141593","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073334595","display_name":"J\u00fcrgen Prestin","orcid":"https://orcid.org/0000-0001-5985-7939"},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"J. Prestin","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Rostock, Universit\u00e4tsplatz 1, D-18051, Rostock, Germany","Fachbereich Mathematik, Universit\u00e4t Rostock, Rostock, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Rostock, Universit\u00e4tsplatz 1, D-18051, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]},{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Rostock, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038839062","display_name":"Ewald Quak","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Quak","raw_affiliation_strings":["Center for Approximation Theory, Department of Mathematics, Texas A&M University, 77843, College Station, TX, USA","Center for approximation theory department of mathematics, Texas A&M university, College station, USA"],"affiliations":[{"raw_affiliation_string":"Center for Approximation Theory, Department of Mathematics, Texas A&M University, 77843, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Center for approximation theory department of mathematics, Texas A&M university, College station, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073334595"],"corresponding_institution_ids":["https://openalex.org/I4665924"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.9229,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.95179793,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"9","issue":"2","first_page":"293","last_page":"317"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trigonometric-interpolation","display_name":"Trigonometric interpolation","score":0.8976188898086548},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8621774911880493},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6763433218002319},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.5879994630813599},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5592454075813293},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.508967399597168},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4934779405593872},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4816093146800995},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.4656885862350464},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.39390677213668823},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36907100677490234},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36276283860206604},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.34322842955589294},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3380090594291687},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1273883879184723},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.110472172498703},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.085325688123703},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08179014921188354}],"concepts":[{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.8976188898086548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8621774911880493},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6763433218002319},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.5879994630813599},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5592454075813293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.508967399597168},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4934779405593872},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4816093146800995},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.4656885862350464},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.39390677213668823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36907100677490234},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36276283860206604},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.34322842955589294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3380090594291687},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1273883879184723},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.110472172498703},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.085325688123703},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08179014921188354},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02141593","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02141593","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.27.2046","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.2046","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.mu-luebeck.de/prestin/ps/wavedeco.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1489213177","https://openalex.org/W1975215912","https://openalex.org/W1989603161","https://openalex.org/W1995113957","https://openalex.org/W2046450507","https://openalex.org/W2062024414","https://openalex.org/W2076375387","https://openalex.org/W2102048957","https://openalex.org/W4255272544","https://openalex.org/W4256555983"],"related_works":["https://openalex.org/W2354378723","https://openalex.org/W2488705107","https://openalex.org/W2371738094","https://openalex.org/W2095809698","https://openalex.org/W4386512906","https://openalex.org/W2374545223","https://openalex.org/W2393385663","https://openalex.org/W2536408477","https://openalex.org/W4200281652","https://openalex.org/W2351859300"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}